if a bus covers a distance of 126 km in 4hrs then find the distance that it will cover in 40 mins. plz answer
Answers
Given :
- Distance covered by a bus = 126 km
- Time taken by the bus to cover that distance = 4 hrs
To find :
- Distance the bus will cover in 40 mins.
Concept :
Here, we have to find the distance the bus will cover in 40 mins. For that firstly, calculate the speed of the bus when the time taken by the bus was 4 hrs while covering 126 km. Then to find that distance we will use the same speed in which the bus was travelling.
Formulae to be used :-
Formula to calculate speed :-
- Speed = Distance ÷ Time
Formula to calculate distance :-
- Distance = Speed × Time
Solution :
Speed of the bus :-
Using formula,
★ Speed = Distance ÷ Time
Substituting the given values,
→ Speed = 126 ÷ 4
→ Speed = 31.5
Speed of the bus = 31.5 km/hr.
Distance the bus will cover in 40 mins :-
Firstly, convert the time from mins to hrs.
As we know,
- 1 min = 1/60 hr
Divide the value by 60 to convert it from min to hrs.
→ Time = 40 mins = 40/60 hr = 4/6 hr = 2/3 hr
- Time = 2/3 hr
Using formula,
★ Distance = Speed × Time
Substituting the given values,
→ Distance = 31.5 × 2/3
→ Distance = 21
- Distance the bus will cover in 40 mins = 21 km.