Question

Two trains start at the same time from Hyderabad and Delhi and proceed towards each other at
80 km/hr and 95 km/hr respectively. When the trains meet, it is found the one has traveled 180
Km more that the other. Find the distance between Delhi and Hyderabad.​

Answer 1

Step-by-step explanation:

aage ka idhar hai

let pu t value of y

y-x = 180 .

y- 82= 180

y = 180+82

= 262

total di

262+82

344km ans approximately

Answer 2

Answer:

The distance between Delhi and Hyderabad is $2100 km$

Step-by-step explanation:

First Method :

• Since both the train takes the same time to meet. So, $\frac{(x + 180)}{95}$ is equal to $\frac{x}{80}$
• Solving it, we get x = 960 km. Distance described by the trains from Delhi and from Hyderabad are respectively 960 km and $(960 + 180$) km. that is, 960 km and 1040 km. Therefore, total distance = 2100 km Ans. [x is the distance described by the train coming from Hyderabad when they meet.]  

Second Method :

• Since in the same time, one train describes 180 km more than the other,
• so 95t – 80t = 180 so, t = 12 h  Total distance = 175 × 12 = 2100 km Ans. [t is the time taken by each of the trains.]

Third Method :

• Since both the train takes the same time to meet, the ratio of the distance described by the train will same as the ratio of the speed of the trains. That is, in the ratio of 95 : 80, that is, in the ratio of 19 : 16.
• Here, the difference is 3, while the sum is 35.                                          
• (diff.) 3 ≡ 180 km,    1 ≡ 60 km,  Total distance = 35 × 60 km = 2100 km

Fourth Method  

• Time = Since the speed of the trains are 80 and 95 km/h and one train describes 180 km more than the other in the same interval of time, so this 180 km is described by the trains at the rate of 15 km/h (95-80) in 12 hours (180 km/15 km/h).
• The trains describe the distance between Delhi and Hyderabad at the rate of 175 km/h in 12 hours.
• So, total distance = 175 km/h × 12h  = 2100 km Ans.