A person walks at 4km hr for a particular duration


Asked by admin @ in Physics viewed by 350 People


A person walks at 4km/hr for a particular duration t1 and 3km/hr for another duration t2 and covers a total distance of 36km. if he walks at 4km/hr for the duration t2 and at 3km/hr for the duration t1,then he covers only 34km. what will be the time taken by him to cover the one of the legs?

Answered by admin @



We know that Distance = Speed * Time.

(i)

Given that A person walks 4km/hr for a duration t1 and 3km/hr for duration t2 and covers a total distance of 36km.

36 = 4 * T1 + 3 * T2

36 = 4T1 + 3T2 -------- (1)

----------------------------------------------------------------------------------------------------------------

(ii)

Given that he walks at 4km/hr for duration t2 and 3km/hr for t1 and covers only 34 km.

34 = 3 * T1 + 4 * T2

34 = 3T1 + 4T2 ----- (2)

----------------------------------------------------------------------------------------------------------------

On adding (1) & (2), we get

= > 4T1 + 3T2 + 3T1 + 4T2 = 36 + 34

= > 7T1 + 7T2 = 70 ------- (3)


On subtracting (1) & (2), we get

= > 4T1 + 3T2 - 3T1 - 4T2 = 36 - 34

= > T1 - T2 = -2 ------ (4)


On solving (3) & (4) * 7, we get

= > 7T1 + 7T2 = 70

= > 7T1 - 7T2 = -14

------------------------

14T1 = 56

T1 = 4


Substitute T1 = 4 in (3), we get

= > 7T1 + 7T2 = 70

= > 7(4) + 7T2 = 70

= > 28 + 7T2 = 70

= > 7T2 = 70 - 28

= > 7T2 = 42

= > T2 = 42/7

= > T2 = 6.


So, Total time taken = 4 + 6 = 10.


Therefore, the total time taken by him to cover one of the legs = 10 hours.


Hope this helps!


Similar Questions

If a person walks at 14 km hr

Asked by admin @ in Music viewed by 486 persons

If a person walks at 14 km/hr instead of 10 km/hr, he would have walked 20 km more. The actual distance travelled by him is:

How far can the average person walk in an hour

Asked by admin @ in Mathematics viewed by 256 persons

Raven can walk 2.4 miles in 36 minutes. At this rate, how far can she walk in 1 hour?

Who was the 1st person to walk on the moon

Asked by admin @ in History viewed by 283 persons

Who was the first person to walk in the moon

How many miles can a person walk in an hour

Asked by admin @ in Mathematics viewed by 310 persons

Marshall walks 2 miles in 2/3 of an hour. how many miles can he walk in one hour

A man can swim 4km hr in still water

Asked by admin @ in Physics viewed by 259 persons

A man can swim with a speed of 4km/hr in still water. How long does he take to cross a river 1km wide if the river flows steadily at 3km/hr …

The average walking speed of a person

Asked by maham237 @ in Mathematics viewed by 310 persons

The average walking speed R of a person living in a city of population P in thousands is modeled by the​ function, R(P) = 0.37P + 0.05​, where R is …

A man walking at the rate of 5km hr

Asked by admin @ in Math viewed by 265 persons

a man walking at the rate of 5 km per hour crosses a bridge in 15 minutes the length of the bridge in metres is

In a morning walk three persons step off together

Asked by admin @ in Math viewed by 288 persons

In a morning walk three persons step off together, their steps measure 80cm, 85 cm and 90 cm respectively. What is the minimum distance each should walk so that he …

Overcoming fixed mindset: a step-by-step guide to cultivating a growth mindset

Asked by wiki @ in Health viewed by 1081 persons

Which of the following would best complete this list?

Asked by wiki @ in Social Studies viewed by 617 persons

What had the king decided to do before he saw the spider

Asked by vanshika149 @ in English viewed by 960 persons

Describe the karez in your own words

Asked by rajesh064 @ in English viewed by 1087 persons

What is 8 + (x + 5)?

Asked by jaylord7 @ in Mathematics viewed by 936 persons

What is the topic of the info grapher

Asked by jesus643 @ in History viewed by 1179 persons

Most viewed questions in Physics


Jeevandeep health and physical education std 10 answers pdf

Asked by admin @ in Physics viewed by 11020 persons


Hc verma physics class 9 solutions of describing motion

Asked by admin @ in Physics viewed by 2640 persons


How to leave nightmare land answer key

Asked by maham237 @ in Physics viewed by 1562 persons



Base area and stability of some objects with different shapes

Asked by admin @ in Physics viewed by 1498 persons


Which of the following statements about safe lifting are correct

Asked by admin @ in Physics viewed by 1490 persons


Porous water-absorbing mass of fibers

Asked by wiki @ in Physics viewed by 1458 persons



Absorption of water by filter paper is due to

Asked by admin @ in Physics viewed by 1409 persons


A composite wire of uniform diameter 3mm

Asked by admin @ in Physics viewed by 1372 persons


At a distance l 400m from the traffic light

Asked by admin @ in Physics viewed by 1289 persons



A rocket of mass m is launched straight up with thrust f⃗ thrust.

Asked by maham237 @ in Physics viewed by 1288 persons


Mind map for light reflection and refraction class 10

Asked by admin @ in Physics viewed by 1122 persons



A thief runs at a speed of 10m s

Asked by admin @ in Physics viewed by 1069 persons


A 5.8 x 10 4 watt elevator motor can lift

Asked by maham237 @ in Physics viewed by 1055 persons