What Time Do the Bus and Truck Meet?

  • Context: MHB 
  • Thread starter Thread starter zidan3311
  • Start date Start date
  • Tags Tags
    Bus Truck
Click For Summary

Discussion Overview

The discussion revolves around a problem involving two vehicles, a bus and a truck, departing from different cities at different times and traveling towards each other. Participants explore methods to determine the time at which the two vehicles meet, focusing on mathematical reasoning and problem-solving techniques.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant suggests subtracting the distance traveled by the bus before the truck departs to simplify the problem.
  • Another participant proposes setting up an equation based on the distances traveled by both vehicles to find the meeting time.
  • There is a focus on converting time from minutes to hours to match the speed units for calculations.
  • One participant expresses confusion about the guidance provided and requests a more visual or numerical explanation.
  • Another participant emphasizes the importance of involving the confused participant in the problem-solving process rather than simply providing answers.

Areas of Agreement / Disagreement

Participants generally agree on the approach of using distance and speed to solve the problem, but there is no consensus on the clarity of the explanations provided, as one participant expresses confusion and requests further clarification.

Contextual Notes

Some participants mention the need for unit consistency when calculating distances, highlighting the importance of converting time from minutes to hours. There are also indications of varying levels of understanding among participants, which may affect the discussion's flow.

Who May Find This Useful

This discussion may be useful for individuals interested in problem-solving techniques related to motion, distance, and speed in mathematical contexts, particularly in educational settings.

zidan3311
Messages
14
Reaction score
0
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?
 
Mathematics news on Phys.org
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?
 
zidan3311 said:
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.
 
Last edited:
MarkFL said:
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?
 
zidan3311 said:
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?
 
MarkFL said:
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?
 
zidan3311 said:
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.
 

Similar threads

  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 20 ·
Replies
20
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K