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A car completes a journey in 6 hours. It covers half the distance at 50 km/hr and the rest at 70 km/hr. The length of the journey is?
- a)165 km
- b)175 km
- c)350 km
- d)185 km
- e)None of the above/More than one of the above
Correct answer is option 'C'. Can you explain this answer?
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A car completes a journey in 6 hours. It covers half the distance at50...
Length of the journey = ?
Given information:
- The car completes the journey in 6 hours.
- It covers half the distance at 50 km/hr and the rest at 70 km/hr.
Let's assume the total distance of the journey as "d" km.
Distance covered at 50 km/hr = (1/2)d km
Distance covered at 70 km/hr = (1/2)d km
Total time taken to cover the distance at 50 km/hr = (1/50)(1/2)d = (1/100)d hours
Total time taken to cover the distance at 70 km/hr = (1/70)(1/2)d = (1/140)d hours
Total time taken to complete the journey = 6 hours
So, we can write the equation as:
(1/100)d + (1/140)d = 6
To solve this equation, let's find the LCM of 100 and 140, which is 700.
Multiplying both sides of the equation by 700, we get:
7d + 5d = 6 * 700
12d = 4200
d = 350 km
Therefore, the length of the journey is 350 km.
Hence, the correct answer is option (c) 350 km.
Given information:
- The car completes the journey in 6 hours.
- It covers half the distance at 50 km/hr and the rest at 70 km/hr.
Let's assume the total distance of the journey as "d" km.
Distance covered at 50 km/hr = (1/2)d km
Distance covered at 70 km/hr = (1/2)d km
Total time taken to cover the distance at 50 km/hr = (1/50)(1/2)d = (1/100)d hours
Total time taken to cover the distance at 70 km/hr = (1/70)(1/2)d = (1/140)d hours
Total time taken to complete the journey = 6 hours
So, we can write the equation as:
(1/100)d + (1/140)d = 6
To solve this equation, let's find the LCM of 100 and 140, which is 700.
Multiplying both sides of the equation by 700, we get:
7d + 5d = 6 * 700
12d = 4200
d = 350 km
Therefore, the length of the journey is 350 km.
Hence, the correct answer is option (c) 350 km.
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A car completes a journey in 6 hours. It covers half the distance at50km/hrand the rest at70km/hr. The length of the journey is?a)165 kmb)175 kmc)350 kmd)185 kme)None of the above/More than one of the aboveCorrect answer is option 'C'. Can you explain this answer?
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