CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Solving a Quadratic Equation by Factorization Method

A body travel...

Question

A body travels first one third distance with uniform speed u and next one third with speed of v and the next one third distance with average speed w. Find the average speed?

Open in App

Solution

Let the total distance be x

case1
distance=x/3
spees=u
time=d/s=x/3u

case 2
distance=x/3
spees=v
time=x/3 v

case3
distance=`x/3
speed=w
time =x/3w

total distance =x

total time=x/3u+x/3v+x/3w
=( x÷3)(1÷u + 1÷v + 1÷w)

avg speed= total distance/total time taken

=x/[(x/3)(1÷u + 1÷v + 1÷w)]

avg speed=3/ [(1÷u) + (1÷v) + (1÷w)]

like if satisfied

Suggest Corrections

thumbs-up

0

Similar questions

Q. A body covers first one-third of its journey with speed

u

, next one- third with speed

v

and the last one-third with speed

w

. Calculate the average speed of the body over the entire journey.

Q. A body covers first one-third of its journey with speed

u

, next one- third with speed

v

and the last one-third with speed

w

. Calculate the average speed of the body over the entire journey.

Q. A car travels the first one third of a certain distance with a speed of 10 km/hr, the next one third with a speed of 20 km/hr and the last one third distance with a speed of 60 km/hr The average speed of the car for the whole journey is

Q. A body covers one third of the distance with speed

V_{1}

and two third of the distance with speed

V_{2}

. The average speed of the body is:

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Solving QE by Factorisation

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Solving a Quadratic Equation by Factorization Method

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon