a car takes 20 sec to travel . first 10 meters 20 minutes to travel next 40 km
find the average speed of the car
Answers
Given :-
- Time taken to travell first 10 m = 20s
- Time taken to travell next 40 km = 20 min
Conversion :-
Firstly converting all the same units (to m's & s)
40km → m
→ 40 × 10³
→ 40,000 m
20 min → s
→ 20 × 60
→ 1200 s
To find :-
- Average speed of the car
Solution :-
Firstly finding speed 1 (V1) & Speed 2 (V2)
Speed = distance/time
V1 = 10/20 = 0.5 m/s
V2 = 40000/1200 = 33.33 m/s
Now , finding average speed .
Average speed = 2V1V2/V1 + V2
Substituting the values of V1 & V2
→ Avg speed = 2(½)(33.33)/0.5 + 33.33
→ Avg speed = 33.33/33.8
→ Average speed = 1.01 m/s
Hence , average speed of car = 1.01 m/s
Answer:
Given:
★ A car takes 20 sec to travel. First 10 meters 20 minutes to travel next 40 km.
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To find:
★ Find the average speed of the car.
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Remember:
#To convert minutes to seconds we have to multiply min with cm.
#In the given question there are of two cases firstly let's find the speed of both cases and then apply the formulae.
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Using formulae:
★ Average speed = Distance covered/Time taken.
★ Speed of case 1 × case 2/Case 1 + Case ★
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Calculations:
★ Applying formulae we get for both the cases, we get:
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= 10/20
= 0.5 m/s
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Therefore, 0.5 m/s is the speed of car in the first case.
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★ Converting km to m and min to sec, we get:
- 40km × 1000 = 40,000 m.
- 20 × 60 = 1,200 sec.
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Adding values:
= 40000/1200
= 33.33 m/s
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Therefore, 33.33 m/s is the speed of car in the second case.
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Adding values from the before equations:
= 2 (1/2 × 33.33)/(0.5 + 33.33)
= 33.33/33.8
= 1.01 m/s
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Therefore, 1.01 m/s is the average speed of the car.