If X can run 48m and Y 42m, then in a race of 1km, X beats Y by:_________?
Correct answer: B. 125m
- A. 140m
- B. 125m
- C. 100m
- D. 110m
Explanation
Their speeds are in the ratio X:Y = 48:42 = 8:7. When X runs 1,000 m, Y runs 1,000 × 7/8 = 875 m, so X beats Y by 1,000 - 875 = 125 m. The likely wrong choice is 140 m, which comes from an incorrect conversion of the 48:42 ratio.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Time, Speed and Distance
Problems relate distance, speed and time through the formula distance = speed × time, including unit conversion, average speed, relative speed and motion in opposite or the same direction. Questions may involve trains, boats and streams, where the effective speed changes, so average speed must not be confused with the simple average of two speeds.
Practise Arithmetic
1,060 free Arithmetic MCQs from Mathematics, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Mathematics questions like this
Mathematics is on 76 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Time, Speed and Distance questions
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?
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 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?
In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is__________?
In a game of billiards, A can give B 20 points in 60 and he can give C 30 points in 60. How many points can B give C in a game of 100?
In a race of 1000 m, A can beat by 100 m, in a race of 800m, B can beat C by 100m. By how many meters will A beat C in a race of 600 m?