In travelling a distance of 3 kilometre between points A and D, a car is driven at 100 kmh-1 from A to B for t second and at 60 kmh-1 from C to D for t second. If the brakes are applied for 4 second between B and C to give the car a uniform deceleration, the value of t is
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
a
75.5 second
b
45.5 second
c
65.5 second
d
56.5 second
answer is C.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
AB=100×518t metre CD=60×518t metre For BC,vC=vB+at⇒60×518=100×518+a(4)⇒4a=−40×518⇒a=−5018=−259ms−2So the distance BC isBC=100×518×4+12−259(4)2BC=10009−2009=8009m However AB+BC+CD=3000m⇒(160)518t+8009=3000⇒4009t+8009=3000⇒400t+800=27000⇒400t=26200⇒t=65.5s