wiz-icon
MyQuestionIcon
MyQuestionIcon
3
You visited us 3 times! Enjoying our articles? Unlock Full Access!
Question

A and B start at the same time from two places 30 km apart. If they walk in the same direction, A overtakes B in 10 hours and if they walk in opposite directions they meet in 2 hours. Find the rate of walking of A.


A

5 kmph

No worries! We‘ve got your back. Try BYJU‘S free classes today!
B

7 kmph

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

9 kmph

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D

13 kmph

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C

9 kmph


Let the two places P1 and P2 be 30 km apart and let A start from P1 and B from P2.

Let A’s speed of walking be x km/hr and B’s speed by y km/hr. According to the question, when they walk in the same direction .

10 (x – y) = 30 …(i)

When they walk in opposite direction

2(x + y) = 30 …(ii)

On dividing (i) by (ii), we get

5(xy)x+y=15x5y=x+y4x6y=0...........(iii)

On multiplying (ii) by 2, we get

4x+4y=60 ........................(iv)

- 6y - 4y = - 60

-10y = - 60

y = 6

On substituting value of y in (iv)

4x + 4×6 = 60

4x+24=60

4x=36

x=364=9

A’s speed = 9 km/hr and B’s speed = 6 km/hr.


flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Inversly Proportional
QUANTITATIVE APTITUDE
Watch in App
Join BYJU'S Learning Program
CrossIcon