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Aptitude · Q75

Speed Time And Distance

Competitive Exams · Aptitude · question 75

Q75

A runs 7/4 times as fast as B. If A gives B a start of 300 m, how far must the winning post be if both A and B have to end the race at same time?

A runs times as fast as B. If A gives B a start of 300 m, how far must the winning post be if both A and B have to end the race at same time?
A.
1400 m
B.
700 m
Answer
C.
350 m
D.
210 m

Answer: Option B

Solution

Answer: Option B
Solution:
.ABReason (ST=D)
Speed74Given
Time 47Since, Speed ∝
Distance4 7Distance ∝ time


Now,
7x - 4x = 300 (A runs 7x m and B runs 4x)
x = 100
7x = 7 × 100 = 700 m
Winning post is 700 m away, As A runs 700 m to complete the race.