Question

Ramesh travels from town A to town B at an average speed of 45 km/hr and returns at an average speed of 55 km/hr. If the total journey took 8 hours excluding stops, find the distance between Town A and Town B.

Answer 1

Answer:

But we have only speeds S1 and S2

S1 = 40 km/hr

S2 = 60 km/hr

So now let us assume that the distance between a and b will be 120 km ( LCM of 40 and 60 )

D1 = 120 km

D2 = 120 km

Total Distance = D1 + D2 = 120 + 120 = 240 km

Now

T1 = D1/S1

T1 = 120/40 = 3 hr

T2 = D2/S2

T2 = 120/60 = 2 hr

Total Time = T1 + T2 = 3 + 2 = 5 hr

Now

Average Speed = Total Distance / Total Time = 240 / 5

Average Speed = 48 km/hr

Edit: 28 July 2017

You can also solve this que using a simple formula

Avg Speed = 2xy/x+y

x = 40 and y = 60

Avg Speed = 2 x 40 x 60/100

Avg Speed = 48 km/h

the ans is 48 km/h

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Answer 2

Se the attachment ....