To solve this problem, we need to set up two equations based on the information given.

Let's denote:
- D as the distance Abhi needs to travel
- T as the time it should take him to reach his destination on time

From the problem, we know that:

1) If Abhi travels at 6 km/hr, he reaches his destination 12 minutes early. This means he travels for (T - 12/60) hours. So, we can write the first equation as: D = 6 * (T - 12/60)

2) If Abhi travels at 4 km/hr, he reaches his destination 10 minutes late. This means he travels for (T + 10/60) hours. So, we can write the second equation as: D = 4 * (T + 10/60)

Now we have a system of two equations, and we can solve it by setting them equal to each other:

6 * (T - 12/60) = 4 * (T + 10/60)

Solving this equation gives us T = 1 hour.

Now that we know the time it should take Abhi to reach his destination on time, we can find the speed he should travel at. We know that speed = distance/time, and we can use either of the original equations to find the distance. Let's use the first one:

D = 6 * (1 - 12/60) = 5 km

So, the speed Abhi should travel at to reach his destination on time is D/T = 5/1 = 5 km/hr.

Question

To solve this problem, we need to set up two equations based on the information given.

Let's denote:
- D as the distance Abhi needs to travel
- T as the time it should take him to reach his destination on time

From the problem, we know that:

1) If Abhi travels at 6 km/hr, he reaches his destination 12 minutes early. This means he travels for (T - 12/60) hours. So, we can write the first equation as: D = 6 * (T - 12/60)

2) If Abhi travels at 4 km/hr, he reaches his destination 10 minutes late. This means he travels for (T + 10/60) hours. So, we can write the second equation as: D = 4 * (T + 10/60)

Now we have a system of two equations, and we can solve it by setting them equal to each other:

6 * (T - 12/60) = 4 * (T + 10/60)

Solving this equation gives us T = 1 hour.

Now that we know the time it should take Abhi to reach his destination on time, we can find the speed he should travel at. We know that speed = distance/time, and we can use either of the original equations to find the distance. Let's use the first one:

D = 6 * (1 - 12/60) = 5 km

So, the speed Abhi should travel at to reach his destination on time is D/T = 5/1 = 5 km/hr.

Knowee AI · Accepted Answer

To solve this problem, we need to set up two equations based on the information given.

Let's denote:
- D as the distance Abhi needs to travel
- T as the time it should take him to reach his destination on time

From the problem, we know that:

1) If Abhi travels at 6 km/hr, he reaches his destination 12 minutes early. This means he travels for (T - 12/60) hours. So, we can write the first equation as: D = 6 * (T - 12/60)

2) If Abhi travels at 4 km/hr, he reaches his destination 10 minutes late. This means he travels for (T + 10/60) hours. So, we can write the second equation as: D = 4 * (T + 10/60)

Now we have a system of two equations, and we can solve it by setting them equal to each other:

6 * (T - 12/60) = 4 * (T + 10/60)

Solving this equation gives us T = 1 hour.

Now that we know the time it should take Abhi to reach his destination on time, we can find the speed he should travel at. We know that speed = distance/time, and we can use either of the original equations to find the distance. Let's use the first one:

D = 6 * (1 - 12/60) = 5 km

So, the speed Abhi should travel at to reach his destination on time is D/T = 5/1 = 5 km/hr.

If Abhi travels a certain distance at 6 km/hr, he reaches his destination 12 minutes early, but if he travels at 4 km/hr, he reaches his destination 10 minutes late. The speed (in km/hr) at which he should travel to reach his destination on time is?

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