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## A car is traveling at a uniform speed. The driver sees a milestone showing a 2-digit number. After traveling for an hour thedriver sees another milestone with the same digits in reverse order. After another hour the driver sees another milestone containingthe same two digits with a zero in between(0). What is the average speed of the driver.PLEASE EXPLAIN STEP WISE

shrutimProfile Answers by shrutim Questions by shrutim

Questions by shrutim answers by shrutim

## Editorial / Best Answer

Answered by: swamidayalsrivastava

Let 10'splace digit is x and unit's place digit y

First milestone : 10x+y

Second milestone : 10y+x

Third milestone: 100x+y

Since the speed is uniform so

Distance covered in first Hr = Distance covered in Second Hr

(10y+x)-(10x+y) = (100x+y)-(10y+x)

After solving, we get ---->

y=6x but since x and y are digits so only possible combination is x=1 and y=6,So average speed = 45 KM/HR

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