Question

A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x
km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar. Find the
distance between Delhi and Amritsar. (HOTS)

Answer 1

Given: A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar.

To find: The distance between Delhi and Amritsar.

Solution: The distance between Delhi and Amritsar is (6x+50) km.

In order to calculate the speed of a car, the following formula must be used.

$speed = \frac{distance}{time}$

According to the question, the speed of the car is x km/hr. Now, the number of hours between 6:00 a.m. and 12:00 noon can be calculated as shown below.

$12 - 6 = 6$

This means that the car took 6 hours to reach a distance that is 50 km from Amritsar. Now, these values can be substituted in the speed formula.

$x = \frac{distance - 50}{6 \: hours}$

Now, we need to cross multiply and then isolate "distance" in order to find its value.

$distance = 6x + 50$

Therefore, the distance between Delhi and Amritsar is (6x+50) km.

Answer 2

Answer:

Given: A starts his car from Delhi at 6.00 am to Amritsar. The uniform speed of his car is x km/h. At 12.00 noon, he finds that he is still 50 km away from Amritsar.

To find: The distance between Delhi and Amritsar.

Solution: The distance between Delhi and Amritsar is (6x+50) km.

In order to calculate the speed of a car, the following formula must be used.

According to the question, the speed of the car is x km/hr. Now, the number of hours between 6:00 a.m. and 12:00 noon can be calculated as shown below.

This means that the car took 6 hours to reach a distance that is 50 km from Amritsar. Now, these values can be substituted in the speed formula.

Now, we need to cross multiply and then isolate "distance" in order to find its value.

Therefore, the distance between Delhi and Amritsar is (6x+50) km.

Step-by-step explanation: