One can use three different modes of transportation to reach from Dwarka to Ghaziabad. These mode of transportation have varying speeds 20 km/hour, 30km/hour, and 50 km/hour respectively. To reach Ghaziabad from Dwarka, Samiksha took each mode of transportation 1/5th, 2/5th and 2/5th times of her total journey time, while Shrestha took each mode of transportation 1/6th, 1/6th, and 4/6th of the total distance. The percentage by which Samiksha's travel time exceeds Shrestha travel time is nearest to:
Let the total time taken by Samiksha be '5t'.
Total distance = t(20) + 2t(30)+2t(50) = 180t
Shreshta travelled distances 30t, 30t and 120t at 20 km/hr, 30 km/hr and 50 km/hr.
Time taken by Shreshta =Â $$\frac{30t}{20}+\frac{30t}{30}+\frac{120t}{50}$$ = 1.5t + t + 2.4t = 4.9t
Required % =Â $$\ \frac{\ 5t-4.9t}{5t}\times\ 100\ =\ 2\%$$
Answer is option B.
Create a FREE account and get: