SOLUTION: A man can cover a certain distance in 2 hours 45 minutes if he walks at a rate of 4 km/h. if he covers the same distance on cycle at a rate of 16.5 km/h, find the time taken by him

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Question 270189: A man can cover a certain distance in 2 hours 45 minutes if he walks at a rate of 4 km/h. if he covers the same distance on cycle at a rate of 16.5 km/h, find the time taken by him.
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
This is an RTD problem. Here is a table based on the given information
travel . . . . . . . . . .rate . . . . . . . . . time . . . . . . . . . . distance
walk . . . . . . . . . . .4 . . . . . . . . . . 2.75. . . . . . . . . . . .11
bike . . . . . . . . . . .16.5 . . . . . . . . . . . . . . . . . . . . . . . .11
totals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
step 1 - we had to find the distance as 4 x 2.75 = 11
step 2 - find the bike time
Bike: rate x time = distance
16.5 x t = 11
dividing, we get
t = 2/3 hour
this is 40 minutes