Question

Some part of of journey of 555km was completed by a car speed 60 km/hr .then the speed is increased by 15 km/hr as journey completed . If it takes 8 hours to reach thenfind time taken and and distance covered by 60km/hr speed

Answer 1

Time taken at the speed at 60 km/hr is 3 hours and distance covered 180 km.

Step-by-step explanation:

Let the time for which the car traveled at 60 km/hr = x hours

and the time for which the car traveled at (60 + 15) 75 km/hr = y hours

Distance = speed × time

distance covered by the car at the speed 60 km/hr = 60x km

distance covered by the car at the speed 75 km/hr = 75y km

x + y = 8 -------(1)

60x + 75y = 555 -----(2)

15(4x + 5y) = 555

4x + 5y = $\frac{555}{15}$

4x + 5y = 37 --------(3)

Multiplying equation (1) by 5

5x + 5y =  40 --------(4)

subtracting equation (3) from equation (4)

5x + 5y = 40 ------(4)

4x + 5y = 37 ------(3)

x = 3

Since time taken by the car at the speed at 60 km/hr is 3 hours.

So, the distance covered by this speed is (60 × 3) 180 km.

Time taken at the speed at 60 km/hr is 3 hours and distance covered 180 km.

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