A bus moving at a speed of 90 Km/h requires 2 hours to reach city A from city B. How much time would it requires if speed is 120 Km/h ?How much time would a car travelling at the speed of 50 Km/h require to reach the city A from the city B?
Answers
Step-by-step explanation:
Let the bus will take x hours
Speed = 90km/hr Speed=120km/hr
Time taken = 2 hours Time = x
On analysing the situation we can easily understand that it is inversely proportional because when one unit increases (speed) the second unit ( time ) will decrease.
90 km/hr * 2 hr= 120km/hr * x
180km/hr² = 120km *x
180km/hr²÷120km/hr =x
1.5 hr = x
therefore the bus will take 1.5 hours.
Speed = 90km/hr Speed = 50 km /hr
Time =2hrs Time = x
Here the speed decrease so the bus will take more time that means it is inversely proportional
90km/hr *2hr = 50km/hr * x
180km/hr² = 50km/hr *x
180km/hr² ÷ 50 =x
3.6 hrs =x
So the bus will take 3.6 hrs
Given data : A bus moving at a speed of 90 Km/h requires 2 hours to reach city A from city B.
To find :
- How much time would it requires if speed is 120 Km/h ?
- How much time would a car travelling at the speed of 50 Km/h require to reach the city A from the city B?
Solution : A/C to question;
- Speed of the bus = 90 km/hr
- Time taken by bus = 2 hour
Firstly we have to find out distance between city A to city B. Now by formula of speed.
➜ speed = distance/time
➜ 120 = distance/2
➜ distance = 120/2
➜ distance = 60 km
A/C to question;
To find out, time taken by bus to cover 60 km distance between city A to B at 120 km/hr. So now
Here
- speed = 120 km/hr
- distance = 60 km
➜ speed = distance/time
➜ 120 = 60/time
➜ time = 60/120
➜ time = 1/2 hour
Similarly, a/c to question, to find out, time taken by bus to cover 60 km distance between city A to B at 50 km/hr.
Here
- speed = 50 km/hr
- distance = 60 km
➜ speed = distance/time
➜ 50 = 60/time
➜ time = 60/50
➜ time = 6/5 hour
Answer : Hence, the time required by bus at 120 km/hr to cover distance between city A to city B is 1/2 hour and the time required by bus at 50 km/hr to cover distance between city A to city B is 6/5 hour.
More info :
- 1/2 hour = 1/2 * 60 minutes
- 1/2 hour = 30 minutes
- 30 minutes = 30 * 60 second
- 30 minutes = 1800 second
- 1 hours = 3600 second
and
- 6/5 hour = 6/5 * 60 minutes
- 6/5 hour = 6 * 30 minutes
- 6/5 hour = 180 minutes
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