Question

x takes 3 hours more than y to walk 30 km. But if x doubles his pace, he is ahead of y by 1
hours. Find their speeds of walking.
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Answer 1

Answer:speed of x is 3.75 km/h

speed of y is 6 km/h

Step-by-step explanation:

Let us begin with y

Speed = A

Time = T

Distance = 30 km

AT = 30 _____equ (1)

For X

Speed = B

Time = T+3

Distance = 30 km

B(T+3) = 30 ______equ (2)

If Speed = 2B

Then Time = T-1

Distance = 30km

2B(T-1) = 30 ______equ (3)

Equating (2) &(3)

BT+3B =2BT-2B

BT=5B

T= 5

Substitute T = 5 in ____(1)

A(5) = 30

A = 6

Substitute T = 5 in ____(2)

B(5+3) =30

B = 3.75

In case on verification subs T = 5 & B=3.75 in ____(3)

2(3.75) (5-1) = 30

7.5 (4) = 30

30 = 30

Hence Speed of x is 3.75 km/h

Speed of y is 6 km/h