Rahul travels equal distances with speeds of 2 km/hr, 3 km/hr and 4 km/hr and takes a total time of 52 minutes. Find the total distance travelled by him.
Answers
Step-by-step explanation:
Given :-
Rahul travels equal distances with speeds of 2 km/hr, 3 km/hr and 4 km/hr and takes a total time of 52 minutes.
To find :-
Find the total distance travelled by him. ?
Solution :-
Let the distances travelled by Rahul each be
X km
So, they are X km , X km and X km
Since they are equal distances
The speeds of Rahul = 2 km/hr, 3 km/hr and
4 km/hr
We know that
Distance = Speed × Time
=> Time = Distance / Speed
Time taken by him for X km with the speed of
2 km/hr = X/2 hr --------(1)
Time taken by him for X km with the speed of
3km/hr = X/3 hr ----------(2)
Time taken by him for X km with the speed of
4 km/hr = X/4 hr --------(3)
Total Time taken for travelling total distance
=> (X/2)+(X/3)+(X/4)
LCM of 2 , 3 and 4 = 12
=> [(6×X)+(4×X)+(3×X)]/12
=> (6X+4X+3X)/12
=> 13X/12 hrs
According to the given problem
Total Time taken by Rahul = 52 minutes
We know that
1 hour = 60 minutes
=> 1 minute = 1/60 hrs
=> 52 minutes = 52/60 hours
Now, We have
13X/12 = 52/60
On applying cross multiplication then
=> 13X×60 = 52×12
=> 780X = 624
=> X = 624/780
=> X = (4×156)/(5×156)
=> X = 4/5 km
or
We know that
1 km = 1000 meters
=> 4/5 km = (4/5)×1000 meters
=> (4×1000)/5
=> 4000/5
=> 800 meters
The distance = 800 meters
Total distance travelled by Rahul
= 800 m + 800 m + 800 m
= 2400 meters or 2.4 km
Answer:-
Total distance travelled by Rahul is 2400 m (or)
2.4 km
Used formulae:-
→ Distance = Speed × Time
→ 1 hour = 60 minutes
→ 1 km = 1000 meters
Answer:
The rest part is shown below:
The total distance covered=
3x
=3×800m
=2400m
=2.4 kms
Step-by-step explanation:
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