Mathematics, 27.10.2019 01:43, Cherrykisses101

At 9: 00 on saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path. the bicyclist heading north is riding 6 km/hour faster than the bicyclist heading south. at 10: 15, they are 42.5 km apart. find the two bicyclists' rates

a. northbound bicyclist= 20 km/h; southbound bicyclist= 14 km/h
b. northbound=20 km/h; southbound= 11km/h
c. northbound= 23 km/h; southbound= 17km/h
d. northbound= 20km/h; southbound= 13 km/h

Answers: 3

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answered: nesharhodes23p965te

(A) Northbound bicyclist=20 km/hr, southbound bicyclist=14 km/h.

Step-by-step explanation:

The total time taken is= 1 hour 15 min=1.25 hours. Let the distance traveled by bicyclist heading in the south direction is represented by $D_{S}$ and the distance traveled by the bicyclist heading in north direction be $D_{N}$ , then according to question $D_{N}$ + $D_{S}$ =42.5km. (1)

Therefore, using speed= $\frac{Distance}{time}$ ,

Distance traveled by bicyclist heading in the south direction is $D_{S}$ = speed × time= 1.25×S, where S is the speed of the bicyclist heading in south........(2)

Since, The bicyclist heading in north direction is 6km/hr faster than the bicyclist heading in south direction, therefore,

Speed of bicyclist heading in north direction will be, N=S+6...........(3)

Let the distance travelled by the bicyclist heading in north direction is represented as $D_{N}$ .

Therefore, $D_{N}$ = 1.25N

=1.25(S+6)

=1.25S+ 7.5 (4)

Now, subtracting (2) from (4), we have

$D_{N}$ - $D_{S}$ =1.25S+7.5-1.25S

$D_{N}$ - $D_{S}$ =7.5 (5)

Now, from equation (1), we have $D_{N}$ + $D_{S}$ =42.5, solving equation (1) and equation (5), we get $D_{N}$ =25km.

Now, substituting this value of $D_{N}$ in equation (1),

$D_{N}$ + $D_{S}$ =42.5

$D_{S}$ =42.5-25.0

$D_{S}$ =17.5km

Now,speed of the bicyclist heading in north direction will be: $\frac{Distance}{Time}$

= $\frac{25}{1.25}$

= 20km/hr

Also, Speed of bicyclist heading in south direction= $\frac{17.5}{1.25}$

= 14km/hr

answered: Guest

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9