
A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours ?
Answer
572.7k+ views
Hint: To find the distance travelled by the truck in 5 hours can be found by using the relation between speed, time and distance. First what we need to do is just find the speed of the truck. Once speed is calculated find the distance travelled by truck in 5 hours.
Complete step-by-step answer:
Given that the distance travelled by the truck in 25 min is 14 km.
So the speed of the truck can be calculated by the relation
$ \Rightarrow Speed = {\dfrac{{distance}}{{ time}}} $
Speed = \[\dfrac{{14}}{{25}}\]km/min
We know 1 hour is equal to 60 min
So 5 hours will be equal to $5 \times 60$ min
=$300$min
We know speed of the truck is \[\dfrac{{14}}{{25}}\]km/min
We also know distance = speed$ \times $time
On putting the values we can calculate the distance travelled by truck in 300 min
Distance = \[\dfrac{{14}}{{25}} \times 300\]
=$14 \times 12$ km
= $168$km
Note: Students do not forget to change the unit of time or unit of distance. In these types of questions, either students can solve by taking time in an hour or in minutes but make sure to have the same units for all the quantities.
Complete step-by-step answer:
Given that the distance travelled by the truck in 25 min is 14 km.
So the speed of the truck can be calculated by the relation
$ \Rightarrow Speed = {\dfrac{{distance}}{{ time}}} $
Speed = \[\dfrac{{14}}{{25}}\]km/min
We know 1 hour is equal to 60 min
So 5 hours will be equal to $5 \times 60$ min
=$300$min
We know speed of the truck is \[\dfrac{{14}}{{25}}\]km/min
We also know distance = speed$ \times $time
On putting the values we can calculate the distance travelled by truck in 300 min
Distance = \[\dfrac{{14}}{{25}} \times 300\]
=$14 \times 12$ km
= $168$km
Note: Students do not forget to change the unit of time or unit of distance. In these types of questions, either students can solve by taking time in an hour or in minutes but make sure to have the same units for all the quantities.
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