Question

A car covers Nagpur - Amravati 150 km distance in 3 hrs and 15 min. How much time
will it require to cover a distance of 250 km of Nagpur-Akola with the same speed ?
(1) 2 hrs. 15 min
(2) 3 hrs. 25 min
(3) 5 hrs. 25 min
(4) 4 hrs. 15 min
​

Answer 1

Nagpur to Amravati Distance=150 km

Time Taken to cover=3 hours 15 minutes

1 hour=60 minutes

15 minutes in Hour=15/60=1/4 hour

Time=(3+1/4) hours

=13/4 Hours

Speed=Distance÷Time

$150 \div \frac{13}{4} \\ \\ = 150 \times \frac{4}{13} \\ \\ \frac{600}{13}$

Speed=600/13 Km/h

Now Distance=250 km

Speed=600/13 km/h

Time=Distance÷Speed

$250 \div \frac{600}{13} \\ \\ 250 \times \frac{13}{600} \\ \\ \frac{65}{12} \\ \\ 5 \frac{5}{12}$

5/12 Hour in minutes

$\frac{5}{12} \times 60 \\ \\ 25$

=25 minutes

Total Time Taken=5 hour 25 minutes

Answer 2

answer good question 5 hrs. 25 min