Question

Disha drives a car at an average speed of 48 km/h and reach her destination in 6 hours. Himanshu covers that distance in 4 hours. If disha increases her average speed by 8 km/h and himanshu increases his average speed by 4 km/h, then what will be the difference in time taken by them to reach their destination?

Answer 1

Answer:

Disha drives a car at an average speed of 48 km/h and reach her destination in 6 hours. Himanshu covers that distance in 4 hours. If disha increases her average speed by 8 km/h and himanshu increases his average speed by 4 km/h, then the difference in time taken by them to reach their destination 1 $\frac{47}{133}$ hours.

Explanation:

Given Disha's speed and the time she takes to reach her destination, we can get the distance covered.

The distance covered is = 48 × 6 = 288 km

Himanshu covers this distance in 4 hours. So his speed is given by:

Speed = 288/4 = 72 km/h

Disha increases her speed by 8km/h and Himanshu by 4km/h.

Their new speed is:

Disha = 48 + 8 = 56 km/h

Himanshu = 72 + 4 = 76 km/h

The time they take will be:

Disha = 288/56 = 5 $\frac{1}{7}$ hours

Himanshu = 288/76 = 3 $\frac{15}{19}$ hours

The difference in time taken by them is:

= 5 $\frac{1}{7}$ - 3 $\frac{15}{19}$ = 1 $\frac{47}{133}$ hours

Answer 2

Explanation:

Disha drives a car at an average speed of 48 km/h and reach her destination in 6 hours. Himanshu covers that distance in 4 hours. If disha increases her average speed by 8 km/h and himanshu increases his average speed by 4 km/h, then the difference in time taken by them to reach their destination 1 47/133 hours

hours.

Explanation:

Given Disha's speed and the time she takes to reach her destination, we can get the distance covered.

The distance covered is = 48 × 6 = 288 km

Himanshu covers this distance in 4 hours. So his speed is given by:

Speed = 288/4 = 72 km/h

Disha increases her speed by 8km/h and Himanshu by 4km/h.

Their new speed is:

Disha = 48 + 8 = 56 km/h

Himanshu = 72 + 4 = 76 km/h

The time they take will be:

Disha = 288/56 = 5 (1/7) hours

Himanshu = 288/76 = 3 (19/15) hours

The difference in time taken by them is:

$\large\tt = 5 \frac{1}{7} - 3 \frac{19}{15} = \frac{47}{133} hrs$