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All Free Mathematics MCQs with Answers

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1,551 questions · page 69 of 78

1361. A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is________?

  • A. 10 kmph
  • B. 5 kmph
  • C. 20 kmph
  • D. 22 kmph

Explanation: Downstream motion combines the man's still-water speed with the stream speed. Hence, downstream speed = 15 km/h + 5 km/h = 20 km/h.

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Correct answer: 20 kmph

1362. A man can swim in still water at 4.5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is_________?

  • A. 3
  • B. 7.5
  • C. 2.25
  • D. 1.5

Explanation: Let the current speed be c km/h. Since the upstream time is twice the downstream time for the same distance, the downstream speed is twice…

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Correct answer: 1.5

1363. A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 6km?

  • A. 3
  • B. 4
  • C. 4 (1/2)
  • D. Insufficient data

Explanation: Against the current, the effective speed is 4 km/h - 2 km/h = 2 km/h. The time required for 6 km is 6 km ÷ 2 km/h = 3 h.

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Correct answer: 3

1364. If a man rows at the rate of 5 kmph in still water and his rate against the current is 3.5 kmph. then the man's rate along the current is__________?

  • A. 4.25 kmph
  • B. 6 kmph
  • C. 6.5 kmph
  • D. 8.5 kmph

Explanation: The current speed is the difference between still-water speed and upstream speed: 5 km/h - 3.5 km/h = 1.5 km/h.

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Correct answer: 6.5 kmph

1365. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is________?

  • A. 2 : 1
  • B. 3 : 1
  • C. 3 : 2
  • D. 4 : 3

Explanation: For the same distance, taking twice as long upstream means the upstream speed is half the downstream speed.

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Correct answer: 3 : 1

1366. Speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph. A man rows to a place at a distance of 105 km and comes back to the starting point. The total time taken by him is_________?

  • A. 16 hours
  • B. 18 hours
  • C. 20 hours
  • D. 24 hours

Explanation: The downstream speed is 9 km/h + 1.5 km/h = 10.5 km/h, so the outward time is 105 km ÷ 10.5 km/h = 10 h.

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Correct answer: 24 hours

1367. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?

  • A. 40 minutes
  • B. 1 hour
  • C. 1 hr 15 min
  • D. 1 hr 30 min

Explanation: The upstream speed is 2 km ÷ 1 h = 2 km/h, and the downstream speed is 1 km ÷ (10/60 h) = 6 km/h.

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Correct answer: 1 hr 15 min

1368. A man can row 9 1/3 km/hr in still water and he finds that is thrice as much time to row u p than as to row down the same distance in river. The speed of the current is:________?

  • A. 3 1/3 km/hr
  • B. 3 1/9 km/hr
  • C. 1 ¼ km/hr
  • D. 4 2/3 km/hr

Explanation: Let v = 9 1/3 km/h = 28/3 km/h be the still-water speed and c be the current speed.

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Correct answer: 4 2/3 km/hr

1369. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9km/hr and the speed of the current is 3km/hr, the distance A and B is:_______?

  • A. 4km
  • B. 6 km
  • C. 8 km
  • D. 12 km

Explanation: The upstream speed is 9 km/h - 3 km/h = 6 km/h, and the downstream speed is 9 km/h + 3 km/h = 12 km/h.

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Correct answer: 12 km

1370. The speed of a boat in still water is 2km/hr. If its speed upstream be 1km/hr then speed of the stream is________?

  • A. 1.5km/hr
  • B. 3km/hr
  • C. 1km/hr
  • D. none

Explanation: Upstream speed equals still-water speed minus current speed. Therefore, 1 km/h = 2 km/h - current speed, so current speed = 1 km/h.

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Correct answer: 1km/hr

1371. A boat takes half time in moving a certain distance downstream than upstream. What is the ratio between the rate in still water and rate of current?

  • A. 1 : 2
  • B. 3 : 1
  • C. 2 : 1
  • D. 1 : 3

Explanation: For a fixed distance, taking half the time means the downstream speed is twice the upstream speed.

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Correct answer: 3 : 1

1372. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will he take to go 5km in stationery water?

  • A. 40 Minutes
  • B. 1 Hour
  • C. 1 hr 15 Min
  • D. 1 Hr 30 Min

Explanation: The upstream speed is 2 km ÷ 1 h = 2 km/h, while the downstream speed is 1 km ÷ (10/60 h) = 6 km/h.

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Correct answer: 1 hr 15 Min

1373. A man can row three-quarters of a kilometer against the stream in 11 ¼ minutes and return in 7 ½ minutes. The speed of the man in still water is________?

  • A. 2km/hr
  • B. 3km/hr
  • C. 4 km/hr
  • D. 5 km/hr

Explanation: The upstream speed is 0.75 km ÷ 0.1875 hour = 4 km/hr, and the downstream speed is 0.75 km ÷ 0.125 hour = 6 km/hr.

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Correct answer: 5 km/hr

1374. A boat goes 6 km in an hour in still water. It takes thrice as much time in covering the same distance against the current. Speed of the current is_______?

  • A. 2 km/hr
  • B. 3km/hr
  • C. 4km/hr
  • D. 5 km/hr

Explanation: The boat covers 6 km in 1 hour downstream and takes 3 hours for the same 6 km upstream, so the upstream speed is 6 km ÷ 3 hr = 2 km/hr.

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Correct answer: 4km/hr

1375. A boat running upstream takes 8 hours 48 min to cover a certain distance while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and the speed of water current respectively?

  • A. 2 : 1
  • B. 3 : 1
  • C. 8 : 3
  • D. Cannot be determined

Explanation: For distance D, downstream speed is D ÷ 4 hr = D/4, while upstream speed is D ÷ 8.8 hr = 5D/44.

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Correct answer: 8 : 3

1376. In a river, a man takes 3 hours in rowing 3 km upstream or 15 km downstream. What is the speed of the current?

  • A. 2km/hr
  • B. 4km/hr
  • C. 6km/hr
  • D. 9km/hr

Explanation: The upstream speed is 3 km ÷ 3 hr = 1 km/hr, and the downstream speed is 15 km ÷ 3 hr = 5 km/hr.

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Correct answer: 2km/hr

1377. A man can row at 5 km/hr in still water, if the river is running at 1 km/hr it takes him 75 minutes to row to a place and back. How far is the place?

  • A. 2.5km
  • B. 3km
  • C. 4 km
  • D. 5 km

Explanation: The upstream and downstream speeds are 5 - 1 = 4 km/hr and 5 + 1 = 6 km/hr.

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Correct answer: 3km

1378. A runs 1 2/3 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

  • A. 200 m
  • B. 300 m
  • C. 270 m
  • D. 160 m

Explanation: A's speed is 1 2/3 = 5/3 times B's speed. If the winning post is x m away, A takes time proportional to x ÷ (5/3), while B covers x - 80…

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Correct answer: 200 m

1379. In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:________?

  • A. 21 m
  • B. 26 m
  • C. 28 m
  • D. 29 m

Explanation: A beats B by 25 m in a 100 m race, so A:B speed = 100:75 = 4:3. B beats C by 4 m, so B:C = 100:96 = 25:24; therefore A:C = 25:18, and when…

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Correct answer: 28 m

1380. If in a game of 80, P can give 16 points to Q and R can give 20 points to P, then in a game of 150, how many points can R give to Q?

  • A. 48
  • B. 60
  • C. 54
  • D. 90

Explanation: P giving Q 16 points in a game of 80 means P:Q = 80:64 = 5:4. R giving P 20 points means R:P = 80:60 = 4:3, so R:Q = (4:3)(5:4) = 5:3.

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Correct answer: 60
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