ankita travels 14 km to her home partly by rickshaw and partly by bus. she takes half and hour if she travels 2 km by rickshaw and the remaining distance by bus .on the other hand if she travels 4km by rickshaw and the remaining distance by bus she takes 9 minutes longer. find the speed of the ricks
Hello,
Here is how you can solve the given question
Consider 'x' is the speed of Rickshaw in km/hr and 'y' is the speed of bus km/hr
The total distance travelled by her is 14 kms so the distance covered by her in bus is= 14 - Distance covered by her in Rickshaw
We know that, Speed= Distance/Time ----(1)
In half an hour the distance travelled is 2 kms and the remaining distance by bus therefore, (2/x)+(12/y)=1/2 -----(2)
This is the first case. According to the second case she travels 4 kms by rickshaw and remaining distance by bus and it took 9 minutes longer so the total time taken by her is =(1/2)+(9/60)= 39/90 hours
Therefore, Total time taken=(4/x)+(10/y)=39/90 ----(3)
Solving (2) and (3) we get x=10 km/hr and y=40 km/hr
Therefore, the speed of Rickshaw is 10 km/hr.
