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1. A car moves at a speed of 40 km/hr. How far will it travel in 18 minutes?
Solution:
Given that a car moves at a speed of 40 km/hr.
Speed = 40 km/hr
Time = 18 minutes
1 minute = 1/60 hr
18 minutes = 18/60 hr
We know that Speed = distance/time
Distance = Speed × time
Substitute the given value in the formula.
Distance = 40 km/hr × (18/60 hr)
Distance = 12 km
The car will travel 12 km in 18 minutes.
2. A bus covers 84 km in 2 hours. How much distance will it cover in 40 minutes?
Solution:
Given that a bus covers 84 km in 2 hours.
Therefore, the distance = 84 km, the time = 2 hours.
We know that Speed = distance/time.
Speed = 84/2 km/hr = 42 km/hr.
If the time takes 40 minutes = 40/60 hr = 2/3 hr
Distance = speed × time
Distance = 42 km/hr × 2/3 hr
The distance = 28 km
A bus covers 28 km in 40 minutes
3. If a motorist moves with a speed of 15 km/hr and covers the distance from place A to place B in 2 hours 30 minutes, find the distance between place A and place B?
Solution:
Given that a motorist moves with a speed of 15 km/hr and covers the distance from place A to place B in 2 hours 30 minutes.
Therefore, the speed = 15 km/hr, time = 2 hours 30 minutes.
Let’s convert the time from minutes into hours.
1 minute = 1/60 hr
2 hours 30 minutes = 2 hours + 30/60 hours = 2 + 1/2 hr = 2.05 hr
We know that Speed = distance/time.
Distance = speed × time
Substitute the given value in the formula.
Distance = 15 km/hr × 2.05 hr
Distance = 30.75 km
The distance between place A and place B is 30.75 km.
4. Mohan drives a bike at a uniform speed of 30 km/hr, find how much distance is covered in 45 minutes?
Solution:
From the given data, Mohan drives a bike at a uniform speed of 30 km/hr
Speed = 30 km/hr
Time = 45 minutes
Let’s convert the time from minutes into hours.
1 minute = 1/60 hr
45 minutes = 45/60 hr = 9/12 hr = 3/4 hr
We know that Speed = distance/time.
Distance = speed × time
Substitute the given value in the formula.
Distance = 30 km/hr × 3/4 hr
Distance = 22.5 km
Mohan drives a bike moves 22.5 km in 45 minutes.
5. A bus is running at a speed of 36 km/hr, how far will it go in 7 seconds?
Solution:
Given that a bus is running at a speed of 36 km/hr.
Convert km/hr into m/sec
km/hr × 5/18 = m/sec
36 km/hr × 5/18 = 10 m/sec
We know that Speed = distance/time.
Distance = speed × time
Substitute the given value in the formula.
Distance = 10 m/sec × 7 seconds = 70 m
The bus will go 70 m in 7 seconds.
6. A bike travels at a speed of 27 km/hr. How many meters will it travel in 1 second?
Solution:
Given that a bike travels at a speed of 27 km/hr.
Convert km/hr into m/sec
km/hr × 5/18 = m/sec
27 km/hr × 5/18 = 7.5 m/sec
The bike travels 7.5 meters in 1 second.
7. How much father can an interstate bus go traveling 50 km/hr rather than 40 km/hr in 6 hours?
Solution:
Firstly, take the speed = 50 km/hr and time = 6 hours.
Now, find the distance.
We know that Speed = distance/time.
Distance = speed × time
Substitute the given value in the formula.
Distance = 50 km/hr × 6 hours = 300 km.
Secondly, take the speed = 40 km/hr and time = 6 hours.
Now, find the distance.
We know that Speed = distance/time.
Distance = speed × time
Substitute the given value in the formula.
Distance = 40 km/hr × 6 hours = 240 km.
Difference in distance = 300 – 240 km = 60 km.
An interstate bus goes traveling 50 km/hr moves 60 km farther than an interstate bus goes traveling 40 km/hr in 6 hours.
8. Two persons jog and cover the same distance at the speed of 6 km/hr and 8 km/hr. Find the distance covered by each one of them when one takes 20 minutes longer than the other.
Solution:
Let us assume the distance is x km.
Now, find the time taken to cover 6 and 8 km.
Time taken to cover x km at 6 km/hr = x/6 hr
The time to cover x km at 8 km/hr = x/8 hr
Given that the distance covered by each one of them when one takes 20 minutes longer than the other.
Therefore, x/6 – x/8 = 20/60
x/6 – x/8 = 1/3
4x – 3x = 24/3
x = 8
Therefore, the distance is 8 km.
The distance covered by each one of them is 8 km when one takes 20 minutes longer than the other.
9. Arun and Kiran cover the same distance on foot at the speed of 2 km/hr and 4 km/hr. Find the distance covered by each one of them when one takes 10 minutes longer than the other.
Solution:
Let us assume the distance covered by Arun and Kiran is x km.
Now, find the time taken to cover 2 and 4 km.
Time taken to cover x km at 2 km/hr = x/2 hr
The time to cover x km at 4 km/hr = x/4 hr
Given that the distance covered by each one of them when one takes 10 minutes longer than the other.
Therefore, x/2 – x/4 = 10/60
x/2 – x/4 = 1/6
2x – x = 4/6
x = 0.66 km (approximately)
Therefore, the distance is 0.66 km.
The distance covered by each one of them is 0.66 km (approximately) when one takes 20 minutes longer than the other.
10. A train travels at a speed of 126 km in one hour. How many meters will it travel in one second?
Solution:
Given that a train travels at a speed of 126 km in one hour.
Convert km/hr into m/sec.
To convert km/hr into m/sec, multiply km/hr × 5/18 = m/sec
126 km/hr × 5/18 = 35 m/sec.
35 meters per second.
The train travels 35 meters per one second.