MHB What Time Do the Bus and Truck Meet?

[zidan3311]

hi..

the new similar problem :

A bus departs from city X at 07:55 am with speed of 80 kmph . and A truck departs from the city of Y at 08:10 am with a speed of 100 kmph. Two cities 260 km distance. At what time did they meet?

how to find way out with easy/quickly method?

 

[MarkFL]

I would subtract the distance traveled by the bus from 7:55 am to 8:10 am from the given total of 260 km. Then combine the velocities of the two vehicles, and the new distance to find the time they met. Can you proceed?

 

[phymat]

hi..

the new similar problem :

A bus departs from city X at 07:55 am with speed of 80 kmph . and A truck departs from the city of Y at 08:10 am with a speed of 100 kmph. Two cities 260 km distance. At what time did they meet?

how to find way out with easy/quickly method?

Suppose they meet after $x$ hours after 7:55 a.m.

Distance covered by bus in $x$ hours = $80x$ km.

Distance covered by truck in $(x- \frac{1}{4})$ hours$ = 100(x- \frac{1}{4})$ km.

Therefore $80x + 100(x- \frac{1}{4}) = 260$

You should be able to solve from here.

 

[zidan3311]

I would subtract the distance traveled by the bus from 7:55 am to 8:10 am from the given total of 260 km. Then combine the velocities of the two vehicles, and the new distance to find the time they met. Can you proceed?

not yet, Mark, would you show me?

 

[MarkFL]

not yet, Mark, would you show me?

I will do even better, I will guide you so that you are involved in the process and will learn more. :D

We know the bus is traveling for 15 minutes at 80 kph. To find the distance traveled during this time, we use the relationship between distance $d$, average speed $v$ and time $t$:

$$d=vt$$

We need for our units to match, and since the speed is given in kilometers per hour, we should express the time in hours, not minutes. So, what part of an hour is 15 minutes, and what do you get for the distance when you plug in the speed and time in the above formula?

 

[zidan3311]

I will do even better, I will guide you so that you are involved in the process and will learn more. :D

We know the bus is traveling for 15 minutes at 80 kph. To find the distance traveled during this time, we use the relationship between distance $d$, average speed $v$ and time $t$:

$$d=vt$$

We need for our units to match, and since the speed is given in kilometers per hour, we should express the time in hours, not minutes. So, what part of an hour is 15 minutes, and what do you get for the distance when you plug in the speed and time in the above formula?

i'm still confuse, my english is not good enough to understand your guidance completely, could you make it with number of visualization?

 

[MarkFL]

i'm still confuse, my english is not good enough to understand your guidance completely, could you make it with number of visualization?

What specifically did you not understand? I want to help you with the problem, not simply work it for you.