Question

devesh can cover a certain distance in 1 hour 24 minutes by covering two-third of the distance at 6 km/hour and the rest at 7 km/hr. calculate total distance.

Answer 1

Speed=distance/time
=6×7/1×24
=42/24
=7/4
So, answer is 7/4

Answer 2

Answer:

The total distance is 8.82 km .

Step-by-step explanation:

Total Time = 1 hour 24 minutes = $1+\frac{24}{60}=1.4 hour$

Let the total distance be x

We are given that he covers two-third of the distance at 6 km/hour i.e. he travels $\frac{2}{3}x$ of the distance at 6 km/hour.

Time = $\frac{Distance}{Speed}=\frac{\frac{2}{3}x}{6}$

We are given that the rest at 7 km/hr.i.e., $\frac{1}{3}x$  of the distance at 7 km/hour.

So, Time = $\frac{Distance}{Speed}=\frac{\frac{1}{3}x}{7}$

Total Time =  $\frac{\frac{2}{3}x}{6}+\frac{\frac{1}{3}x}{7}$

So, $1.4 = \frac{2}{18}x+\frac{1}{21}x$

$1.4 =\frac{10x}{63}$

$\frac{1.4 \times 63}{10}=x$

$8.82=x$

Hence the total distance is 8.82 km .