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A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h?
Most Upvoted Answer
A car covers 30km at a uniform speed of 30km/h. What should be its spe...
Problem:
A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h?
Solution:
Step 1: Find the time taken for the first 30 km
Time taken = distance / speed
Time taken = 30 km / 30 km/h
Time taken = 1 hour
Step 2: Find the time available for the next 90 km
Total time available = total distance / average speed
Total time available = (30 km + 90 km) / 60 km/h
Total time available = 2 hours
Time already taken = 1 hour
Time available for the next 90 km = 2 hours - 1 hour
Time available for the next 90 km = 1 hour
Step 3: Find the speed required for the next 90 km
Speed = distance / time
Speed = 90 km / 1 hour
Speed = 90 km/h
Conclusion:
Therefore, the speed required for the next 90 km should be 90 km/h to maintain an average speed of 60 km/h for the entire journey.
Community Answer
A car covers 30km at a uniform speed of 30km/h. What should be its spe...
Speed 1 = 30km/h
Speed 2 = x
Distance 1 = 30 km
Distance 2 = 90 km
Avg. speed = S1 + S2 / 2
= 30 + x /2 = 60
By cross multiplication,
60 x 2 = 30 + x
120 = 30 + x
120 - 30 = x
x = 90 km/h
Hence, the speed 2 is 90km/h.
Speed 2 = x
Distance 1 = 30 km
Distance 2 = 90 km
Avg. speed = S1 + S2 / 2
= 30 + x /2 = 60
By cross multiplication,
60 x 2 = 30 + x
120 = 30 + x
120 - 30 = x
x = 90 km/h
Hence, the speed 2 is 90km/h.
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A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h?
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A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h?.
A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car covers 30km at a uniform speed of 30km/h. What should be its speed for the next 90km if the average speed for the entire journey is 60km /h?.
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