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 6 km. Bus leaves the town to mill. Bus traffic begins at 6 am. The buses leave their terminals every 15 minutes and their speed is 45 km/h.
(i) The speed of man is–
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Ans.
(i)
Sol. Distance traveled by the cyclist
= 30 km – 6 km = 24 km
Time taken by the cyclist
= 
= 
hr = 1 hr 20 min
Time taken by the man to met cyclist,
t m = 10 min + 1 hr 20 min = 1.30 hr
Speed of man = 
= 4 km/h
Twelth bus leaves town at 8.45 am.
At that time man moves for 2.15 hr and distance 4 × 
km = 9 km
Time taken by twelth bus to met man
= 
= 
hr
Distance traveled by bus
= 45 × 
km = 19.3 km from town
(ii)
Sol. Distance traveled by the cyclist
= 30 km – 6 km = 24 km
Time taken by the cyclist
= 
= 
hr = 1 hr 20 min
Time taken by the man to met cyclist,
t m = 10 min + 1 hr 20 min = 1.30 hr
Speed of man = 
= 4 km/h
Twelth bus leaves town at 8.45 am.
At that time man moves for 2.15 hr and distance 4 × 
km = 9 km
Time taken by twelth bus to met man
= 
= 
hr
Distance traveled by bus
= 45 × 
km = 19.3 km from town
(iii)
Sol. Distance traveled by the cyclist
= 30 km – 6 km = 24 km
Time taken by the cyclist
= 
= 
hr = 1 hr 20 min
Time taken by the man to met cyclist,
t m = 10 min + 1 hr 20 min = 1.30 hr
Speed of man = 
= 4 km/h
Twelth bus leaves town at 8.45 am.
At that time man moves for 2.15 hr and distance 4 × 
km = 9 km
Time taken by twelth bus to met man
= 
= 
hr
Distance traveled by bus
= 45 × 
km = 19.3 km from town
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