A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance travelled by train was 150 km more than the distance travelled by car, find x:y.
Correct answer: A. 2:3
- A. 2:3
- B. 3:2
- C. 3:4
- D. 4:3
Explanation
Let the car distance be x km, so the train distance is x + 150 km. Then x + x + 150 = 750, giving 2x = 600 and x = 300 km; train distance = 450 km. Therefore x:y = 300:450 = 2:3. The likely mistake is option b, 3:2, which reverses the car and train distances.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? [email protected]
About Ratio and Proportion
Ratios compare quantities in the same units, while proportions state that two ratios are equal. Problems cover simplification, division in a given ratio, direct and inverse variation, scale, and missing terms, with attention to the difference between a ratio and a fraction representing part of a whole.
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 Ratio and Proportion questions
Two natural numbers whose sum is 72 cannot be in the ratio:
Solve for x 2x:25 = 6:(x/3)
A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.
The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the greatest number.
If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is the ratio of their areas if the total cost of both are the same?
The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio of the second and third is 5:7. Find the second number.