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Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minute. A man cycling with a speed of 20 km h-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road?
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ANYONE ANSWER PLEASE.Two towns A and B are connected by a regular bus ...
Let speed of bus = V 
relative speed when cylist and bus both move same direction = (V - 20) km/h 

We know , 
Distance = speed x time 
A/C to question , 
Bus went past cyclist every 18min when in the motion of his direction .
e.g distance covered by bus = ( V-20) x 18/60 km 

Every T time bus travels distance = VT 
e.g. ( V - 20) x 18/60 = VT ----------(1)

Similarly , 
Relative speed of bus when bus and cyclist move in opposite direction = ( v+ 20) km/h 

Bus went past every 6 min in opppsite direction of his motion .
then, 
( V + 20) x 6/60 = VT ----------(2)

Solve both equation , 
( V -20)x 18/60 =( V +20) x 6/60 
=> 3V - 60 = V + 20 
=> 2V = 80 
=> V = 40 Km/h put equation (1) 

(40 - 20)x18/60 = 40T 
T = 6/40 hour = 9 min 

Hence, 
V= 40 km/h and T = 9 min
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ANYONE ANSWER PLEASE.Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minute. A man cycling with a speed of 20 km h-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road?
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ANYONE ANSWER PLEASE.Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minute. A man cycling with a speed of 20 km h-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about ANYONE ANSWER PLEASE.Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minute. A man cycling with a speed of 20 km h-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for ANYONE ANSWER PLEASE.Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minute. A man cycling with a speed of 20 km h-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road?.
Solutions for ANYONE ANSWER PLEASE.Two towns A and B are connected by a regular bus service with a bus leaving in either direction every T minute. A man cycling with a speed of 20 km h-1 in the direction A to B notices that a bus goes past him every 18 min in the direction of his motion, and every 6 min in the opposite direction. What is the period T of the bus service and with what speed (assumed constant) do the buses ply on the road? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
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