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A man travelled a distance of 80 km in 7 hrs, partly on foot at the rate of 8 km/hr and partly on bicycle at 16 km/hr. What is the distance travelled on the foot??
- a)32 km
- b)48 km
- c)36 km
- d)44 km
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
A man travelled a distance of 80 km in 7 hrs, partly on foot at the ra...
Speed = Distance/Time
Total distance travelled = 80 km
Let the time taken on foot be x hrs
Distance travelled on foot = Speed × Time = 8x
Let the time taken on bicycle be (7 - x) hrs
Distance travelled on foot = Speed × Time = 16 × (7 - x)
Total distance travelled = 16 × (7 - x) + 8x
16 × (7 - x) + 8x = 80
112 - 8x = 80 ⇒ x = 4
Distance travelled on foot = 8x = 8 × 4 = 32 km
Total distance travelled = 80 km
Let the time taken on foot be x hrs
Distance travelled on foot = Speed × Time = 8x
Let the time taken on bicycle be (7 - x) hrs
Distance travelled on foot = Speed × Time = 16 × (7 - x)
Total distance travelled = 16 × (7 - x) + 8x
16 × (7 - x) + 8x = 80
112 - 8x = 80 ⇒ x = 4
Distance travelled on foot = 8x = 8 × 4 = 32 km
Most Upvoted Answer
A man travelled a distance of 80 km in 7 hrs, partly on foot at the ra...
Given:
Total distance travelled = 80 km
Total time taken = 7 hrs
Speed on foot = 8 km/hr
Speed on bicycle = 16 km/hr
To find: Distance travelled on foot
Let the distance travelled on foot be x km.
Then, the distance travelled on bicycle will be (80-x) km.
Using the formula: Distance = Speed x Time
Time taken on foot = Distance on foot / Speed on foot
Time taken on bicycle = Distance on bicycle / Speed on bicycle
Total time taken = Time taken on foot + Time taken on bicycle
7 = x/8 + (80-x)/16
Multiplying by 16 on both sides,
112 = 2x + 80 - x
x = 32 km
Hence, the distance travelled on foot is 32 km.
Total distance travelled = 80 km
Total time taken = 7 hrs
Speed on foot = 8 km/hr
Speed on bicycle = 16 km/hr
To find: Distance travelled on foot
Let the distance travelled on foot be x km.
Then, the distance travelled on bicycle will be (80-x) km.
Using the formula: Distance = Speed x Time
Time taken on foot = Distance on foot / Speed on foot
Time taken on bicycle = Distance on bicycle / Speed on bicycle
Total time taken = Time taken on foot + Time taken on bicycle
7 = x/8 + (80-x)/16
Multiplying by 16 on both sides,
112 = 2x + 80 - x
x = 32 km
Hence, the distance travelled on foot is 32 km.
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Community Answer
A man travelled a distance of 80 km in 7 hrs, partly on foot at the ra...
Speed = Distance/Time
Total distance travelled = 80 km
Let the time taken on foot be x hrs
Distance travelled on foot = Speed × Time = 8x
Let the time taken on bicycle be (7 - x) hrs
Distance travelled on foot = Speed × Time = 16 × (7 - x)
Total distance travelled = 16 × (7 - x) + 8x
16 × (7 - x) + 8x = 80
112 - 8x = 80 ⇒ x = 4
Distance travelled on foot = 8x = 8 × 4 = 32 km
Total distance travelled = 80 km
Let the time taken on foot be x hrs
Distance travelled on foot = Speed × Time = 8x
Let the time taken on bicycle be (7 - x) hrs
Distance travelled on foot = Speed × Time = 16 × (7 - x)
Total distance travelled = 16 × (7 - x) + 8x
16 × (7 - x) + 8x = 80
112 - 8x = 80 ⇒ x = 4
Distance travelled on foot = 8x = 8 × 4 = 32 km
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A man travelled a distance of 80 km in 7 hrs, partly on foot at the rate of 8 km/hr and partly on bicycle at 16 km/hr. What is the distance travelled on the foot??a)32 kmb)48 kmc)36 kmd)44 kmCorrect answer is option 'A'. Can you explain this answer?
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