A bus is going to Goa from Pune. With 4 stops of 15 minute each, the average speed of the bus comes out to be 45 m/hr. But if the driver takes the bus without any stops, the average peed comes out to be 50 km/hr. How far is Goa from Pune?
Answers
Answer:500 KM
Step-by-step explanation:50 X 40
=200
BUT IF NO BREAKS THEN
200+300
=500
The distance traveled by bus is 450 km
Given:
A bus is going to Goa from Pune. With 4 stops of 15 minutes each, the average speed of the bus comes out to be 45 m/hr.
But if the driver takes the bus without any stops, the average speed comes out to be 50 km/hr.
To find:
How far is Goa from Pune?
Solution:
Formula used:
Distance = Speed × Time
Case (1)
Let T be the time taken to travel from Goa to Pune without any stops
From the data,
The speed of the bus without stops = 50 km/hr
Hence, Distance traveled d₁ = 50 km/hr × T hr
=> d₁ = 50T --- (1)
Case (2)
There are 4 stops with each 15-minute
The total time takes by bus = T + 4 × 15 mins = (T + 1) hrs
From the data,
The speed of the bus with stops = 45 km/hr
Hence, Distance traveled d₂ = 45 km/hr × (T + 1) hrs
=> d₂ = 45(T + 1) ---- (2)
As we know, the distance in both cases will equal
=> 50T = 45(T + 1)
=> 50T = 45T + 45
=> 5T = 45
=> T = 9 hrs
From (1)
=> d₁ = 50(9) = 450 km
Therefore,
The distance traveled by bus is 450 km
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