The distance between a town and a mill is 30 km. A man started to walk from the mill to the town at 6:30 am while a cyclist left the town for the mill at 6:40 am, riding at a speed of 18 km/h. The man met the cyclist after walking 6km. Determine at what time the met and the man's speed.
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Diagram is attached
Speed of the cycliest=18Km/h
Distance he traveled=(30-6)Km [∵Total distance was 30Km and the man =24Km meet him after he traveled 6Km]
Time = Distace/Speed
= 24/18
= 4/3 or 1hour 20minutes
Cycliest meet the man after 1hr 20min but the man started 10 min earlier
So time taken by the man to meet the cycliest is 1hr 20 min +10 min
∴Time taken by the man=1hr 30 min or 9/6hours
Distance traveled by the man =6Km
∴Speed of man=(6÷9/6)km/h
=4km/h (Ans)
Time at which they meet =Time when man begun his journey + Time taken him to travel 6 Km.
=6:30am+1:30
=8:00am (Ans)
Speed of the cycliest=18Km/h
Distance he traveled=(30-6)Km [∵Total distance was 30Km and the man =24Km meet him after he traveled 6Km]
Time = Distace/Speed
= 24/18
= 4/3 or 1hour 20minutes
Cycliest meet the man after 1hr 20min but the man started 10 min earlier
So time taken by the man to meet the cycliest is 1hr 20 min +10 min
∴Time taken by the man=1hr 30 min or 9/6hours
Distance traveled by the man =6Km
∴Speed of man=(6÷9/6)km/h
=4km/h (Ans)
Time at which they meet =Time when man begun his journey + Time taken him to travel 6 Km.
=6:30am+1:30
=8:00am (Ans)
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