# Question

Method 1: By conventional S=D/T formula

Benjamin cycled 16km/h faster.

T= 3/4 hr, D = SxT = 16 x 3/4 = 12km

[In 3/4 hr, Benjamin would have cycled 12 km more than Jeremy].

Total distance between them is 72km, make up of Jeremy (1 unit) and Benjamin (1 unit + 12km)

So Jeremy cycled –> (72km-12km)/2units=30km     [and Benjamin cycled 30+12 = 42km]

(a) Jeremy’s speed (s) = d/T = 30/0.75 = 40km/h

~~~~~~~~~~~~~~~~~~~~~~~~

Method 2: Understanding speed and ratio

Every 1 hr, Benjamin would cycle 16km more than Jeremy.

In 3/4 hr, Benjamin would have cycled 3/4 x 16 = 12 km more than Jeremy.

Total distance between them is 72km, make up of Jeremy (1 unit) and Benjamin (1 unit + 12km)

So Jeremy cycled –> (72-12)/2=30km     [ and Benjamin cycled 30+12 = 42km]

(a) Jeremy’s speed:

3/4 hr —–> 30km

1 hr = 4/4 hr  —-> 40km (so Jeremy’s speed is 40km/h)

~~~~~~~~~~~~~~~~~~~~~~~~~

Observe their ratios… Good to understand and know.

Jeremy    :  Benjamin  :  Difference  :  Total

Distance in 3/4 hr                30km     :         42km  :      12km      :   72km

Speed (=Distance in 1hr ) 40km/h :     56km/h  :   16km/h  :  96km/h

1 Reply 2 Likes

HI SAHMOM, thank you for the detail explanation.

1 Reply 0 Likes

Boxes A,B and C contain 360g of sand altogether. 1/6 of sand in Box A is poured into Box B. 1/3 of sand in Box B is poured into Box C. 1/5 of sand in Box C is poured into Box A. There was an equal amount of sand in each box in the end. Find the amount of sand in each box at first. write for us + Healthy Living

0 Replies 0 Likes

I have been looking for the answer of the question stated above for my assignment writing task. However, SAHMom has shared a detailed answer about it and stated 2 methods to solve the question. I am sure that this will be much helpful for me to complete my assignment work.

0 Replies 0 Likes

This pair of gears has a speed ratio of 2, or 2/1. In other words, the input gear rotates double to make the output gear turn once. Source: write my essay UK of  UK Writing Experts.

0 Replies 0 Likes

Using online platform is now become a preferable and easy approach for students. Kiasuparents working to provide professional tips for students. The dissertation writing service offers some helpful tips regarding to writing skills. You can check for further info.

0 Replies 0 Likes

Jeremy’s speed ——- 1u

Benjamin’s speed ——- 1u + 16

1u + 1u + 16 = 2u + 16 ——- 72/(3/4) = 96

1u ——- (96 – 16)/2 = 40

Ans : 40km/h

0 Replies 0 Likes