Question 23

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:

Solution

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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 = $$\frac{30t}{20}+\frac{30t}{30}+\frac{120t}{50}$$ = 1.5t + t + 2.4t = 4.9t

Required % = $$\ \frac{\ 5t-4.9t}{4.9t}\times\ 100\ \approx\ \ 2\%$$

Answer is option B.

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