Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.
After 1 week, Diego will have $11 + $5 = $<<11+5=16>>16.
After 1 week, Lin will have $60 - $2 = $<<60-2=58>>58.
After 2 weeks, Diego will have $16 + $5 = $<<16+5=21>>21.
After 2 weeks, Lin will have $58 - $2 = $<<58-2=56>>56.
After 3 weeks, Diego will have $21 + $5 = $<<21+5=26>>26.
After 3 weeks, Lin will have $56 - $2 = $<<56-2=54>>54.
After 4 weeks, Diego will have $26 + $5 = $<<26+5=31>>31.
After 4 weeks, Lin will have $54 - $2 = $<<54-2=52>>52.
After 5 weeks, Diego will have $31 + $5 = $<<31+5=36>>36.
After 5 weeks, Lin will have $52 - $2 = $<<52-2=50>>50.
After 6 weeks, Diego will have $36 + $5 = $<<36+5=41>>41.
After 6 weeks, Lin will have $50 - $2 = $<<50-2=48>>48.
After 7 weeks, Diego will have $41 + $5 = $<<41+5=46>>46.
After 7 weeks, Lin will have $48 - $2 = $<<48-2=46>>46.
After 8 weeks, Diego will have $46 + $5 = $<<46+5=51>>51.
After 8 weeks, Lin will have $46 - $2 = $<<46-2=44>>44.
After 9 weeks, Diego will have $51 + $5 = $<<51+5=56>>56.
After 9 weeks, Lin will have $44 - $2 = $<<44-2=42>>42.
After 10 weeks, Diego will have $56 + $5 = $<<56+5=61>>61.
After 10 weeks, Lin will have $42 - $2 = $<<42-2=40>>40.
After 11 weeks, Diego will have $61 + $5 = $<<61+5=66>>66.
After 11 weeks, Lin will have $40 - $2 = $<<40-2=38>>38.
After 12 weeks, Diego will have $66 + $5 = $<<66+5=71>>71.
After 12 weeks, Lin will have $38 - $2 = $<<38-2=36>>36.
After 13 weeks, Diego will have $71 + $5 = $<<71+5=76>>76.
After 13 weeks, Lin will have $36 - $2 = $<<36-2=34>>34.
After 14 weeks, Diego will have $76 + $5 = $<<76+5=81>>81.
After 14 weeks, Lin will have $34 - $2 = $<<34-2=32>>32.
After 15 weeks, Diego will have $81 + $5 = $<<81+5=86>>86.
After 15 weeks, Lin will have $32 - $2 = $<<32-2=30>>30.
After 16 weeks, Diego will have $86 + $5 = $<<86+5=91>>91.
After 16 weeks, Lin will have $30 - $2 = $<<30-2=28>>28.
After 17 weeks, Diego will have $91 + $5 = $<<91+5=96>>96.
After 17 weeks, Lin will have $28 - $2 = $<<28-2=26>>26.
After 18 weeks, Diego will have $96 + $5 = $<<96+5=101>>101.
After 18 weeks, Lin will have $26 - $2 = $<<26-2=24>>24.
After 19 weeks, Diego will have $101 + $5 = $<<101+5=106>>106.
After 19 weeks, Lin will have $24 - $2 = $<<24-2=22>>22.
After 20 weeks, Diego will have $106 + $5 = $<<106+5=111>>111.
After 20 weeks, Lin will have $22 - $2 = $<<22-2=20>>20. Answer: \boxed{20}.