Question

28. The time taken by a person to cover 150 km was 2.5 hours more than
ver 150 km was 2.5 hours more than the time taken
return journey. If he returned at a speed of 10 km/hour more than the space
what was the speed per hour in each direction ?​

Answer 1

Answer:

Forward speed will be 20km/hr.

Return speed will be 30 km/hr.

Step-by-step explanation:

Given distance  = 150km.

Let the forward speed be x and the return speed will be x + 10.

We know that time = distance/speed

                             150/x = 150/x+10 + 2.5

                            150 (x + 10) - 150x = 2.5

                             x^2 + 10x - 600 =0

                            (x+30) (x-20) = 0

                            x = -30 and x = 20.

The value of x cannot be negative.

Forward speed will be 20km/hr.

Return speed will be 30 km/hr.

Hope this helps!