Martina drove 737 miles in 11 hours. At the same rate, how long would it take her to drive 335 miles?

Here are two ways to solve

Method 1

First determine her speed if she goes 737 miles in 11 hours.

distance = rate*time

d = r*t

737 = r*11

737 = 11r

11r = 737

r = 737/11

r = 67

Her speed is 67 mph. Use this to find how long it would take if she drove 335 miles.

d = r*t

d/r = t

t = d/r

t = 335/67

t = 5 hours is the time it takes to drive 335 miles assuming Martina drives at the same speed.

Method 2

We can use a proportion to solve

(distance 1)/(time 1) = (distance 2)/(time 2)

(737 miles)/(11 hours) = (335 miles)/(x hours)

737/11 = 335/x

737*x = 335*11 cross multiply

737x = 3685

x = 3685/737 divide both sides by 737

x = 5

We get the same answer of 5 hours.

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.