Raju takes 4 hours more than raju to cover a distance of 40 km. if raju doubles his speed, he takes 3/2 hours more than ajay to cover the same distance. find the speed of both.
Answers
Answer:
Step-by-step explanation:
The solution is in pic
Answer:
Speed of Raju is 8 km/hr and Speed of Ajay is 40 km/hr.
Step-by-step explanation:
let the speed of Raju = x km/hr
the speed of Ajay = y km/hr
According to the question,
40/x - 40/y = 4 ..........................(1)
40/2x - 40/y = 3/2 ......................(2)
put 1/x = u and 1/y = v in (1) & (2)
we get
40u - 40 v = 4
20u - 40v = 3/2
40u - 40v = 4 ........................(3)
40u - 80v = 3 ..........................(4)
Subtract (4) from (3),
-40v - ( -80v ) = 4 - 3
-40v + 80v = 1
40v = 1
v = 1/40
put this in (3), we get
40u - 40(1/40) = 4
40u - 1 = 4
40u = 5
u = 5/40
u = 1/8
Now, 1/x = u ⇒ 1/x = 1/8 ⇒ x = 8
1/y = v ⇒ 1/y = 1/40 ⇒ y = 40
Therefore, Speed of Raju is 8 km/hr and Speed of Ajay is 40 km/hr.