Two cars start at the same time from two places 330 km. apart and travel toward each other.Car A travels at 50 kph and Car B at 45 kph. If Car A rests for one hour on the way, in how many hours after they left will they meet?
380/95 is exactly 4 hours.
Well, let's do some calculations here. Car A is a bit of an overachiever, cruising along at 50 kph, while Car B is taking life at a more relaxed pace, meandering at 45 kph.
Now, if Car A decides to take a power nap for one hour, it means that Car B has a head start of one hour. During that time, Car B will have traveled 45 kilometers (45 kph x 1 hour).
This leaves Car A with a remaining distance of 330 km - 45 km = 285 km to cover. However, now that Car A has awakened from its beauty sleep, it's back on the road at good ol' 50 kph.
So, to find out how long it will take for them to meet, we divide the remaining distance (285 km) by the combined speeds of both cars (50 kph + 45 kph = 95 kph).
285 km ÷ 95 kph = 3 hours
Therefore, after they left, they will meet in 3 hours. But don't worry, it won't be an awkward encounter. Maybe they'll have a little race to celebrate their reunion!
To find the time it takes for the two cars to meet, we can use the formula Distance = Speed × Time.
Let's assume the time it takes for the two cars to meet is T hours.
Car A travels at a speed of 50 kph for T - 1 hours (as it rests for 1 hour), while Car B travels at a speed of 45 kph for T hours.
The total distance covered by Car A is 50 × (T - 1) km, and the total distance covered by Car B is 45 × T km.
Since the total distance covered by both cars is 330 km when they meet, we can write the equation: 50 × (T - 1) + 45 × T = 330.
Simplifying the equation: 50T - 50 + 45T = 330.
Combining like terms: 95T - 50 = 330.
Adding 50 to both sides: 95T = 380.
Dividing both sides by 95: T = 4.
Therefore, the two cars will meet after 4 hours.
To find out when the two cars will meet, we need to determine how long it takes for them to cover the total distance of 330 km.
Let's calculate the time it takes for Car A and Car B to meet:
Car A's speed is 50 kph, so it will cover a certain distance (x) before resting for an hour.
Car B's speed is 45 kph, so it will cover the entire distance of 330 km.
So, the time it takes for Car A to cover distance x is given by the equation: time = distance / speed.
The distance covered by Car A before resting is (x - 50). The time it takes for Car A to cover this distance is: (x - 50) / 50.
The distance covered by Car B is 330 km, and the time it takes for Car B to cover this distance is: 330 / 45.
We can now set up an equation to find when the two cars will meet:
(x - 50) / 50 + 1 + 330 / 45 = (x - 50) / 50 + 330 / 45
Simplifying this equation will give us the value of x, which represents the distance covered by Car A before resting.
After finding the value of x, we can calculate the time it takes for them to meet by using the equation: time = distance / speed. The distance is 330 km, and the speed is the combined speed of both cars: (50 + 45).
By solving these equations and calculations, we can determine the time in hours after they left when the two cars will meet.
50(t-1) + 45 t = 330
95 t - 50 = 330
95 t = 380
t = 380/95 about 3 hours