A car covers a distance of 300 km speed of 60 km /hour and then covers a distance of 450 km with a speed of 90 km/ hour calculate its average speed
Answers
Answer:
75 km/hr
Explanation:
Car covers a distance = 300/60= 5 hrs
Car covers a distance = 450/90= 5 hrs
Total Time = 10 hrs
Total Distance = 300+450= 750km
Average speed= Total Distance/Total Time taken
= 750/10 = 75km/hr
Given: Distance covered - D = 300km (Journey - 1)
speed - V = 60km/hr (Journey - 1)
Distance covered - d = 450km(Journey - 2)
speed - v = 90km/hr (Journey - 2)
To Find: Average speed = ?
Time taken for Journey 1 = t₁
Time taken for Journey 2 = t₂
Solution:
Formula used: average speed = Total distance /total time (T)
t₁ = D/V
t₂ = d/v
Applying the above formula to calculate t₁:
t₁ = D/V
t₁ = 300/60
t₁ = 5hr
Similarly, Applying the formula to calculate t₂:
t₂ = d/v
t₂ = 450/90
t₂ = 5hr
Total time - T = t₁ + t₂
T = 5 + 5 = 10 hr
Total distance covered = D + d
= 300 + 450
= 750 km
Average speed = Total distance/T
Average speed = 750/10
= 75km/hr
Hence, Average speed is 75km/hr.