ExamVeda
Login
Home

A runs frac 7 4 times as fast as B If...

This question belongs to Arithmetic Ability Speed Time And Distance
Speed Time and Distance
?

A runs $$\frac{7}{4}$$ 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?

Answer & Solution
Correct Answer: Option B
.ABReason (ST=D)
Speed74Given
Time 47Since, Speed ∝ $$\frac{1}{{{\text{Time}}}}$$
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.
Examveda
Question posted by Examveda
Community

Join the Discussion

1 Comment
Sohel Rana
Sohel Rana 7 years ago
let,
total distance be x
B speed y
A speed 7y/4
ATQ
x/7y/4=x-300/y
=>y= 700
Keep Learning

Related Questions on Speed Time and Distance

Two buses start from a bus terminal with a speed of 20 km/h at interval of 10 minutes. What is the speed of a man coming from the opposite direction towards the bus terminal if he meets the buses at interval of 8 minutes?
A. 3 km/h B. 4 km/h C. 5 km/h D. 7 km/h
Walking $$\frac{3}{4}$$ of his normal speed, Rabi is 16 minutes late in reaching his office. The usual time taken by him to cover the distance between his home and office:
A. 48 min. B. 60 min. C. 42 min. D. 62 min. E. 66 min.
Two trains for Mumbai leave Delhi at 6 am and 6.45 am and travel at 100 kmph and 136 kmph respectively. How many kilometers from Delhi will the two trains be together:
A. 262.4 km B. 260 km C. 283.33 km D. 275 km E. None of these
A man takes 6 hours 15 minutes in walking a distance and riding back to starting place. He could walk both ways in 7 hours 45 minutes. The time taken by him to ride back both ways is:
A. 4 hours B. 4 hours 30 min. C. 4 hours 45 min. D. 5 hours
More Related Questions on Speed Time and Distance