Table of Contents

## Question

Manoj travelled one third of a distance at an average speed of 16 km/hr then half of distance at a speed of 15Km/hr and covered the rest of distance at an average speed of 20km/hr. If he took total of 15 hours in completing the journey then total distance covered by him is?

a) 205 Km

b) 190 Km

**c) 240 Km**

d) 250 Km

## Solution

Let's take total distance travelled in parts are 6 We have to find here Average Speed = Total distance travelled / Total time taken Total distance travelled in parts are 6 Total time taken = distance_1/speed_1 + .... 1st one is 1/3rd of distance which is 1/3rd of 6 = 2 at speed of 16km/h 2nd one is 1/2 of distance which is 1/2 of 6 = 3 at speed of 15km/h Average Speed = 6/ (2/16 + 3/15 + 1/20) = (6/15)*40 We have Average Speed now & total time also A.T.Q = 15 hours So Total distance = Average Speed * Total time = (6/15)*40 * 15 = 6*40*15/15 = 6*40 = 240 KmAns = 240 Km