man covers a distance of 32 km in 4 hours 40 minutes partly on bicycle at the speed of 10 km per hour and partly on foot at the speed of 4.5 km per hour find the distance covered on foot.
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Question-
A man covers a distance of 32 km in 4 hours 40 minutes partly on bicycle at the speed of 10 km per hour and partly on foot at the speed of 4.5 km per hour. Find the distance covered on foot.
Answer-
Distance = 32 km in 4 hours 40 minutes
Speed on bicycle = 10 km per hour
Speed on foot = 4.5 km per hour
Distance covered on bicycle = x
Distance covered on foot = 32 - x
Time to cover 32 km = x/10 + (32 - x)/4.5 = 4 hours 40 minutes = 4 2/3 hours
4.5x + 320 - 10x/45 = 4 2/3 hours = 14/3 hours
-5.5x + 320 = 14/3 hours × 45 = 210
-5.5x = 210 - 320 = -110
x = -110/-5.5 = 20 km
Distance covered on foot is 20 km.
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