Question

Two friends talk on the phone to meet, both come out at the same time on their respective bicycles; one of them with a speed of 25 km/h and the other with a speed of 30 km/h. If the distance that initially separates them is 120 km: How far are they from each other's house?

Answer 1

They are 54.5 km and 65.4 km away from their respective houses when they meet.

Step-by-step explanation:

To calculate how far the cyclists are from each other's house when they meet, we first need to establish how long they have been cycling. Since they are moving towards each other, we add their speeds together to find the relative speed at which the distance between them decreases. This relative speed is 25 km/h + 30 km/h = 55 km/h. The time taken to meet can be calculated by dividing the initial distance by the relative speed: 120 km / 55 km/h = 2.18 hours (approximately).

Next, to find out how far each cyclist is from their own house when they meet, we multiply their individual speeds by the time they have been biking. The first cyclist at 25 km/h for 2.18 hours would have covered about 54.5 km, and the second cyclist at 30 km/h for 2.18 hours would have covered about 65.4 km.

Thus, they are 54.5 km and 65.4 km away from their respective houses when they meet.