Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane.
Bus travels with average speed 60 km/hr and the average speed of aeroplane is
700 km/hr. It takes 5 hours to complete the journey. Find the distance, Vishal
travelled by bus.
Answers
Answer :
- Vishal travelled 150 km by Bus.
Explanation :
Given that,
- average speed of bus is 60 km/h
- average speed of Aeroplane is 700 km/h
- total time taken for the journey when Vishal travels partly by bus and Aeroplane a total distance of 1900 km
so,
Let, Vishal travelled x km by bus then, distance covered by Aeroplane will be 1900 - x km
therefore,
Using formula : time = distance / speed
→ x / 60 + ( 1900 - x ) / 700 = 5
Taking LCM in LHS
→ ( 35 x + 3(1900) - 3 x ) / 2100 = 5
Cross multiplying
→ ( 32 x + 5700 ) = 10500
→ 32 x = 10500 - 5700
→ 32 x = 4800
→ x = 4800 / 32
→ x = 150 km
therefore,
- Vishal covered 150 km of distance by Bus.
Given : Out of 1900 km, Vishal travelled some distance by bus and some by aeroplane. Bus travels with average speed 60 km/hr and the average speed of aeroplane is 700 km/hr. It takes 5 hours to complete the journey.
To Find :
The distance, Vishal travelled by bus = ?
Solution :
Let the distance traveld by bus be x.
Time taken by traveling by bus = x/60
Distance travelled by plane = (1900 - x)
Time taken by plane = (1900 - x)/700
Total time taken = x/60 + (1900 - x)/700 = 5
=> x/60 - x/700 = 16/7
=> 8/525x = 16/7
=> x = 150 km
Therefore, the distance traveled by the bus is 150 km.