your uncle's home is 35 kilometre away from your home if it takes 35 minutes more time to return by rickshaw then the time to go there by bicycle is
Answers
Answer:
15km/hr is the time to go there by bicycle
50 minutes that is 5/6 hours will be taken to travel by bicycle.
GIVEN: Distance from Uncle's home and Travel Time.
TO FIND: Travel Time by Bicycle.
SOLUTION: According to the question,
Distance till his home = 35km
Now,
There is some missing information in the question.
The correct statement should be,
When speed is 30 km/hr he reaches 10 minutes late when Speed is 40 km/hr he reaches 5 minutes earlier.
Let the time taken by bicycle be x hours.
For Case 1,
When he travels by bicycle,
Distance = 35km
Speed = 30km/hr
Time = x + 1/6 hours
As we know,
Speed = Distance / Time
Distance = Speed * Time
35 = 30 * ( x+1/6 ) ------- eq 1
For Case 2,
When he travels by bicycle,
Distance = 35km
Speed = 40km/hr
Time = x - 1/12 hours
As we know,
Speed = Distance / Time
Distance = Speed * Time
35 = 40 * ( x-1/12 ) ------- eq 2
Now,
Solving Eq 1 and Eq 2 by equating
We get,
30 * ( x+1/6 ) = 40 * ( x-1/12 )
30x + 30/6 = 40x - 40/12
30x + 5 = 40x - 10/3
5 + 10/3 = 10x
15 + 10 = 10x
3
25 * 1 = x
3 10
5/6 = x
Therefore,
5/6 hours will be taken by bicycle, that is 50 mins.
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