Time and Distance - Quantitative Aptitude (MCQ) questions for Q. 43

Q.  A starts walking at 4 kmph and 4 hours after his start B starts cycling at 10 kmph. After how much distance will B catch up with A?
- Published on 12 Jun 15

a. 26.2 km
b. 25.7 km
c. 23.2 km
d. 26.67 km

ANSWER: 26.67 km
 
Distance travelled by each of them is to be made equal.

=> Distance travelled walking = Distance covered cycling.

Let after 4 hours of walking, A walk for x hours more before B catches up with him.

=> Distance = Speed * Time

(4+x)4 = 10x

x = 8/3

Therefore, It takes B 8/3 hours to catch up with A. Distance: 8/3 x 10 = 80/3 km = 26.67

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